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Finding the Third Proportional to 124,677 and 186,967.13

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Solution

The third proportional to 124,677 and 186,967.13 is: 280,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,677 : 186,967.13 = 186,967.13 : x
  2. Step 2: Convert to fraction form
    124,677/186,967.13 = 186,967.13/x
  3. Step 3: Cross multiply
    124,677x = 186,967.13 × 186,967.13
  4. Step 4: Simplify right side
    124,677x = 34,956,705,830.77
  5. Step 5: Solve for x
    x = 34,956,705,830.77/124,677
  6. Step 6: Final answer
    x = 280,378.14

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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.