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Finding the Third Proportional to 71,506 and 94,031

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Solution

The third proportional to 71,506 and 94,031 is: 123,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506 : 94,031 = 94,031 : x
  2. Step 2: Convert to fraction form
    71,506/94,031 = 94,031/x
  3. Step 3: Cross multiply
    71,506x = 94,031 × 94,031
  4. Step 4: Simplify right side
    71,506x = 8,841,828,961
  5. Step 5: Solve for x
    x = 8,841,828,961/71,506
  6. Step 6: Final answer
    x = 123,651.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.