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Finding the Third Proportional to 55,730 and 98,248

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Solution

The third proportional to 55,730 and 98,248 is: 173,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730 : 98,248 = 98,248 : x
  2. Step 2: Convert to fraction form
    55,730/98,248 = 98,248/x
  3. Step 3: Cross multiply
    55,730x = 98,248 × 98,248
  4. Step 4: Simplify right side
    55,730x = 9,652,669,504
  5. Step 5: Solve for x
    x = 9,652,669,504/55,730
  6. Step 6: Final answer
    x = 173,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.