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Finding the Third Proportional to 102,537 and 160,526

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Solution

The third proportional to 102,537 and 160,526 is: 251,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,537 : 160,526 = 160,526 : x
  2. Step 2: Convert to fraction form
    102,537/160,526 = 160,526/x
  3. Step 3: Cross multiply
    102,537x = 160,526 × 160,526
  4. Step 4: Simplify right side
    102,537x = 25,768,596,676
  5. Step 5: Solve for x
    x = 25,768,596,676/102,537
  6. Step 6: Final answer
    x = 251,310.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.