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Finding the Third Proportional to 64,714 and 101,537

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Solution

The third proportional to 64,714 and 101,537 is: 159,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,714 : 101,537 = 101,537 : x
  2. Step 2: Convert to fraction form
    64,714/101,537 = 101,537/x
  3. Step 3: Cross multiply
    64,714x = 101,537 × 101,537
  4. Step 4: Simplify right side
    64,714x = 10,309,762,369
  5. Step 5: Solve for x
    x = 10,309,762,369/64,714
  6. Step 6: Final answer
    x = 159,312.70

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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.