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Finding the Third Proportional to 48,712 and 106,550

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Solution

The third proportional to 48,712 and 106,550 is: 233,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712 : 106,550 = 106,550 : x
  2. Step 2: Convert to fraction form
    48,712/106,550 = 106,550/x
  3. Step 3: Cross multiply
    48,712x = 106,550 × 106,550
  4. Step 4: Simplify right side
    48,712x = 11,352,902,500
  5. Step 5: Solve for x
    x = 11,352,902,500/48,712
  6. Step 6: Final answer
    x = 233,061.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.