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Finding the Third Proportional to 124,719 and 186,886.50

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Solution

The third proportional to 124,719 and 186,886.50 is: 280,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,719 : 186,886.50 = 186,886.50 : x
  2. Step 2: Convert to fraction form
    124,719/186,886.50 = 186,886.50/x
  3. Step 3: Cross multiply
    124,719x = 186,886.50 × 186,886.50
  4. Step 4: Simplify right side
    124,719x = 34,926,563,882.25
  5. Step 5: Solve for x
    x = 34,926,563,882.25/124,719
  6. Step 6: Final answer
    x = 280,042.05

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