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Finding the Third Proportional to 62,897 and 85,465

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Solution

The third proportional to 62,897 and 85,465 is: 116,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,897 : 85,465 = 85,465 : x
  2. Step 2: Convert to fraction form
    62,897/85,465 = 85,465/x
  3. Step 3: Cross multiply
    62,897x = 85,465 × 85,465
  4. Step 4: Simplify right side
    62,897x = 7,304,266,225
  5. Step 5: Solve for x
    x = 7,304,266,225/62,897
  6. Step 6: Final answer
    x = 116,130.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.