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Finding the Third Proportional to 61,003.13 and 97,048.13

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Solution

The third proportional to 61,003.13 and 97,048.13 is: 154,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,003.13 : 97,048.13 = 97,048.13 : x
  2. Step 2: Convert to fraction form
    61,003.13/97,048.13 = 97,048.13/x
  3. Step 3: Cross multiply
    61,003.13x = 97,048.13 × 97,048.13
  4. Step 4: Simplify right side
    61,003.13x = 9,418,338,566.02
  5. Step 5: Solve for x
    x = 9,418,338,566.02/61,003.13
  6. Step 6: Final answer
    x = 154,391.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.