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Finding the Third Proportional to 52,712 and 112,957

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Solution

The third proportional to 52,712 and 112,957 is: 242,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712 : 112,957 = 112,957 : x
  2. Step 2: Convert to fraction form
    52,712/112,957 = 112,957/x
  3. Step 3: Cross multiply
    52,712x = 112,957 × 112,957
  4. Step 4: Simplify right side
    52,712x = 12,759,283,849
  5. Step 5: Solve for x
    x = 12,759,283,849/52,712
  6. Step 6: Final answer
    x = 242,056.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.