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Finding the Third Proportional to 106,746.50 and 163,737.75

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Solution

The third proportional to 106,746.50 and 163,737.75 is: 251,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,746.50 : 163,737.75 = 163,737.75 : x
  2. Step 2: Convert to fraction form
    106,746.50/163,737.75 = 163,737.75/x
  3. Step 3: Cross multiply
    106,746.50x = 163,737.75 × 163,737.75
  4. Step 4: Simplify right side
    106,746.50x = 26,810,050,775.06
  5. Step 5: Solve for x
    x = 26,810,050,775.06/106,746.50
  6. Step 6: Final answer
    x = 251,156.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.