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Finding the Third Proportional to 59,139 and 94,051

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Solution

The third proportional to 59,139 and 94,051 is: 149,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,139 : 94,051 = 94,051 : x
  2. Step 2: Convert to fraction form
    59,139/94,051 = 94,051/x
  3. Step 3: Cross multiply
    59,139x = 94,051 × 94,051
  4. Step 4: Simplify right side
    59,139x = 8,845,590,601
  5. Step 5: Solve for x
    x = 8,845,590,601/59,139
  6. Step 6: Final answer
    x = 149,572.88

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Why These Related Problems?

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