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Finding the Third Proportional to 61,005 and 97,051

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Solution

The third proportional to 61,005 and 97,051 is: 154,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,005 : 97,051 = 97,051 : x
  2. Step 2: Convert to fraction form
    61,005/97,051 = 97,051/x
  3. Step 3: Cross multiply
    61,005x = 97,051 × 97,051
  4. Step 4: Simplify right side
    61,005x = 9,418,896,601
  5. Step 5: Solve for x
    x = 9,418,896,601/61,005
  6. Step 6: Final answer
    x = 154,395.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.