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Finding the Third Proportional to 74,260 and 98,471

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Solution

The third proportional to 74,260 and 98,471 is: 130,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,260 : 98,471 = 98,471 : x
  2. Step 2: Convert to fraction form
    74,260/98,471 = 98,471/x
  3. Step 3: Cross multiply
    74,260x = 98,471 × 98,471
  4. Step 4: Simplify right side
    74,260x = 9,696,537,841
  5. Step 5: Solve for x
    x = 9,696,537,841/74,260
  6. Step 6: Final answer
    x = 130,575.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.