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Finding the Third Proportional to 65,394 and 141,154

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Solution

The third proportional to 65,394 and 141,154 is: 304,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394 : 141,154 = 141,154 : x
  2. Step 2: Convert to fraction form
    65,394/141,154 = 141,154/x
  3. Step 3: Cross multiply
    65,394x = 141,154 × 141,154
  4. Step 4: Simplify right side
    65,394x = 19,924,451,716
  5. Step 5: Solve for x
    x = 19,924,451,716/65,394
  6. Step 6: Final answer
    x = 304,683.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.