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Finding the Third Proportional to 57,413 and 87,335

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Solution

The third proportional to 57,413 and 87,335 is: 132,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 87,335 = 87,335 : x
  2. Step 2: Convert to fraction form
    57,413/87,335 = 87,335/x
  3. Step 3: Cross multiply
    57,413x = 87,335 × 87,335
  4. Step 4: Simplify right side
    57,413x = 7,627,402,225
  5. Step 5: Solve for x
    x = 7,627,402,225/57,413
  6. Step 6: Final answer
    x = 132,851.48

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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.