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Finding the Third Proportional to 64,776 and 95,031

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Solution

The third proportional to 64,776 and 95,031 is: 139,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,776 : 95,031 = 95,031 : x
  2. Step 2: Convert to fraction form
    64,776/95,031 = 95,031/x
  3. Step 3: Cross multiply
    64,776x = 95,031 × 95,031
  4. Step 4: Simplify right side
    64,776x = 9,030,890,961
  5. Step 5: Solve for x
    x = 9,030,890,961/64,776
  6. Step 6: Final answer
    x = 139,417.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.