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Finding the Third Proportional to 49,283 and 77,209

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Solution

The third proportional to 49,283 and 77,209 is: 120,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,283 : 77,209 = 77,209 : x
  2. Step 2: Convert to fraction form
    49,283/77,209 = 77,209/x
  3. Step 3: Cross multiply
    49,283x = 77,209 × 77,209
  4. Step 4: Simplify right side
    49,283x = 5,961,229,681
  5. Step 5: Solve for x
    x = 5,961,229,681/49,283
  6. Step 6: Final answer
    x = 120,959.15

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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.