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Finding the Third Proportional to 65,062 and 97,051

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Solution

The third proportional to 65,062 and 97,051 is: 144,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062 : 97,051 = 97,051 : x
  2. Step 2: Convert to fraction form
    65,062/97,051 = 97,051/x
  3. Step 3: Cross multiply
    65,062x = 97,051 × 97,051
  4. Step 4: Simplify right side
    65,062x = 9,418,896,601
  5. Step 5: Solve for x
    x = 9,418,896,601/65,062
  6. Step 6: Final answer
    x = 144,768.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.