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Finding the Third Proportional to 59,106 and 88,659

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Solution

The third proportional to 59,106 and 88,659 is: 132,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,106 : 88,659 = 88,659 : x
  2. Step 2: Convert to fraction form
    59,106/88,659 = 88,659/x
  3. Step 3: Cross multiply
    59,106x = 88,659 × 88,659
  4. Step 4: Simplify right side
    59,106x = 7,860,418,281
  5. Step 5: Solve for x
    x = 7,860,418,281/59,106
  6. Step 6: Final answer
    x = 132,988.50

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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.