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Finding the Third Proportional to 57,413 and 121,776

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Solution

The third proportional to 57,413 and 121,776 is: 258,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 121,776 = 121,776 : x
  2. Step 2: Convert to fraction form
    57,413/121,776 = 121,776/x
  3. Step 3: Cross multiply
    57,413x = 121,776 × 121,776
  4. Step 4: Simplify right side
    57,413x = 14,829,394,176
  5. Step 5: Solve for x
    x = 14,829,394,176/57,413
  6. Step 6: Final answer
    x = 258,293.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.