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Finding the Third Proportional to 49,308 and 77,246

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Solution

The third proportional to 49,308 and 77,246 is: 121,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,308 : 77,246 = 77,246 : x
  2. Step 2: Convert to fraction form
    49,308/77,246 = 77,246/x
  3. Step 3: Cross multiply
    49,308x = 77,246 × 77,246
  4. Step 4: Simplify right side
    49,308x = 5,966,944,516
  5. Step 5: Solve for x
    x = 5,966,944,516/49,308
  6. Step 6: Final answer
    x = 121,013.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.