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Finding the Third Proportional to 88,778 and 119,612

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Solution

The third proportional to 88,778 and 119,612 is: 161,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,778 : 119,612 = 119,612 : x
  2. Step 2: Convert to fraction form
    88,778/119,612 = 119,612/x
  3. Step 3: Cross multiply
    88,778x = 119,612 × 119,612
  4. Step 4: Simplify right side
    88,778x = 14,307,030,544
  5. Step 5: Solve for x
    x = 14,307,030,544/88,778
  6. Step 6: Final answer
    x = 161,155.13

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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.