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Finding the Third Proportional to 124,008 and 186,492

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Solution

The third proportional to 124,008 and 186,492 is: 280,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,008 : 186,492 = 186,492 : x
  2. Step 2: Convert to fraction form
    124,008/186,492 = 186,492/x
  3. Step 3: Cross multiply
    124,008x = 186,492 × 186,492
  4. Step 4: Simplify right side
    124,008x = 34,779,266,064
  5. Step 5: Solve for x
    x = 34,779,266,064/124,008
  6. Step 6: Final answer
    x = 280,459.86

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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.