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Finding the Third Proportional to 88,614 and 119,373

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Solution

The third proportional to 88,614 and 119,373 is: 160,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,614 : 119,373 = 119,373 : x
  2. Step 2: Convert to fraction form
    88,614/119,373 = 119,373/x
  3. Step 3: Cross multiply
    88,614x = 119,373 × 119,373
  4. Step 4: Simplify right side
    88,614x = 14,249,913,129
  5. Step 5: Solve for x
    x = 14,249,913,129/88,614
  6. Step 6: Final answer
    x = 160,808.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.