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Finding the Third Proportional to 49,748 and 78,772

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Solution

The third proportional to 49,748 and 78,772 is: 124,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,748 : 78,772 = 78,772 : x
  2. Step 2: Convert to fraction form
    49,748/78,772 = 78,772/x
  3. Step 3: Cross multiply
    49,748x = 78,772 × 78,772
  4. Step 4: Simplify right side
    49,748x = 6,205,027,984
  5. Step 5: Solve for x
    x = 6,205,027,984/49,748
  6. Step 6: Final answer
    x = 124,729.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.