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Finding the Third Proportional to 124,848 and 176,656

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Solution

The third proportional to 124,848 and 176,656 is: 249,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,848 : 176,656 = 176,656 : x
  2. Step 2: Convert to fraction form
    124,848/176,656 = 176,656/x
  3. Step 3: Cross multiply
    124,848x = 176,656 × 176,656
  4. Step 4: Simplify right side
    124,848x = 31,207,342,336
  5. Step 5: Solve for x
    x = 31,207,342,336/124,848
  6. Step 6: Final answer
    x = 249,962.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.