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Finding the Third Proportional to 102,681 and 157,761

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Solution

The third proportional to 102,681 and 157,761 is: 242,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681 : 157,761 = 157,761 : x
  2. Step 2: Convert to fraction form
    102,681/157,761 = 157,761/x
  3. Step 3: Cross multiply
    102,681x = 157,761 × 157,761
  4. Step 4: Simplify right side
    102,681x = 24,888,533,121
  5. Step 5: Solve for x
    x = 24,888,533,121/102,681
  6. Step 6: Final answer
    x = 242,386.94

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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.