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Finding the Third Proportional to 54,604 and 97,841

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Solution

The third proportional to 54,604 and 97,841 is: 175,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,604 : 97,841 = 97,841 : x
  2. Step 2: Convert to fraction form
    54,604/97,841 = 97,841/x
  3. Step 3: Cross multiply
    54,604x = 97,841 × 97,841
  4. Step 4: Simplify right side
    54,604x = 9,572,861,281
  5. Step 5: Solve for x
    x = 9,572,861,281/54,604
  6. Step 6: Final answer
    x = 175,314.29

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.