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Finding the Third Proportional to 87,962.63 and 141,630.19

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Solution

The third proportional to 87,962.63 and 141,630.19 is: 228,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,962.63 : 141,630.19 = 141,630.19 : x
  2. Step 2: Convert to fraction form
    87,962.63/141,630.19 = 141,630.19/x
  3. Step 3: Cross multiply
    87,962.63x = 141,630.19 × 141,630.19
  4. Step 4: Simplify right side
    87,962.63x = 20,059,110,011.29
  5. Step 5: Solve for x
    x = 20,059,110,011.29/87,962.63
  6. Step 6: Final answer
    x = 228,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.