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Finding the Third Proportional to 92,506 and 138,772

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Solution

The third proportional to 92,506 and 138,772 is: 208,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,506 : 138,772 = 138,772 : x
  2. Step 2: Convert to fraction form
    92,506/138,772 = 138,772/x
  3. Step 3: Cross multiply
    92,506x = 138,772 × 138,772
  4. Step 4: Simplify right side
    92,506x = 19,257,667,984
  5. Step 5: Solve for x
    x = 19,257,667,984/92,506
  6. Step 6: Final answer
    x = 208,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.