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Finding the Third Proportional to 59,102 and 88,653

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Solution

The third proportional to 59,102 and 88,653 is: 132,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,102 : 88,653 = 88,653 : x
  2. Step 2: Convert to fraction form
    59,102/88,653 = 88,653/x
  3. Step 3: Cross multiply
    59,102x = 88,653 × 88,653
  4. Step 4: Simplify right side
    59,102x = 7,859,354,409
  5. Step 5: Solve for x
    x = 7,859,354,409/59,102
  6. Step 6: Final answer
    x = 132,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.