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Finding the Third Proportional to 58,506 and 126,344

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Solution

The third proportional to 58,506 and 126,344 is: 272,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506 : 126,344 = 126,344 : x
  2. Step 2: Convert to fraction form
    58,506/126,344 = 126,344/x
  3. Step 3: Cross multiply
    58,506x = 126,344 × 126,344
  4. Step 4: Simplify right side
    58,506x = 15,962,806,336
  5. Step 5: Solve for x
    x = 15,962,806,336/58,506
  6. Step 6: Final answer
    x = 272,840.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.