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Finding the Third Proportional to 49,570 and 79,798

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Solution

The third proportional to 49,570 and 79,798 is: 128,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,570 : 79,798 = 79,798 : x
  2. Step 2: Convert to fraction form
    49,570/79,798 = 79,798/x
  3. Step 3: Cross multiply
    49,570x = 79,798 × 79,798
  4. Step 4: Simplify right side
    49,570x = 6,367,720,804
  5. Step 5: Solve for x
    x = 6,367,720,804/49,570
  6. Step 6: Final answer
    x = 128,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.