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Finding the Third Proportional to 34,748 and 74,902

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Solution

The third proportional to 34,748 and 74,902 is: 161,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,748 : 74,902 = 74,902 : x
  2. Step 2: Convert to fraction form
    34,748/74,902 = 74,902/x
  3. Step 3: Cross multiply
    34,748x = 74,902 × 74,902
  4. Step 4: Simplify right side
    34,748x = 5,610,309,604
  5. Step 5: Solve for x
    x = 5,610,309,604/34,748
  6. Step 6: Final answer
    x = 161,457.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.