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Finding the Third Proportional to 120,988 and 187,724

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Solution

The third proportional to 120,988 and 187,724 is: 291,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,988 : 187,724 = 187,724 : x
  2. Step 2: Convert to fraction form
    120,988/187,724 = 187,724/x
  3. Step 3: Cross multiply
    120,988x = 187,724 × 187,724
  4. Step 4: Simplify right side
    120,988x = 35,240,300,176
  5. Step 5: Solve for x
    x = 35,240,300,176/120,988
  6. Step 6: Final answer
    x = 291,271.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.