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Finding the Third Proportional to 94,459.13 and 141,630.19

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Solution

The third proportional to 94,459.13 and 141,630.19 is: 212,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,459.13 : 141,630.19 = 141,630.19 : x
  2. Step 2: Convert to fraction form
    94,459.13/141,630.19 = 141,630.19/x
  3. Step 3: Cross multiply
    94,459.13x = 141,630.19 × 141,630.19
  4. Step 4: Simplify right side
    94,459.13x = 20,059,110,011.29
  5. Step 5: Solve for x
    x = 20,059,110,011.29/94,459.13
  6. Step 6: Final answer
    x = 212,357.57

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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.