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Finding the Third Proportional to 118,641 and 247,124

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Solution

The third proportional to 118,641 and 247,124 is: 514,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,641 : 247,124 = 247,124 : x
  2. Step 2: Convert to fraction form
    118,641/247,124 = 247,124/x
  3. Step 3: Cross multiply
    118,641x = 247,124 × 247,124
  4. Step 4: Simplify right side
    118,641x = 61,070,271,376
  5. Step 5: Solve for x
    x = 61,070,271,376/118,641
  6. Step 6: Final answer
    x = 514,748.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.