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Finding the Third Proportional to 106,570.69 and 163,792.13

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Solution

The third proportional to 106,570.69 and 163,792.13 is: 251,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570.69 : 163,792.13 = 163,792.13 : x
  2. Step 2: Convert to fraction form
    106,570.69/163,792.13 = 163,792.13/x
  3. Step 3: Cross multiply
    106,570.69x = 163,792.13 × 163,792.13
  4. Step 4: Simplify right side
    106,570.69x = 26,827,860,212.02
  5. Step 5: Solve for x
    x = 26,827,860,212.02/106,570.69
  6. Step 6: Final answer
    x = 251,737.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.