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Finding the Third Proportional to 57,411 and 87,332

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Solution

The third proportional to 57,411 and 87,332 is: 132,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411 : 87,332 = 87,332 : x
  2. Step 2: Convert to fraction form
    57,411/87,332 = 87,332/x
  3. Step 3: Cross multiply
    57,411x = 87,332 × 87,332
  4. Step 4: Simplify right side
    57,411x = 7,626,878,224
  5. Step 5: Solve for x
    x = 7,626,878,224/57,411
  6. Step 6: Final answer
    x = 132,846.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.