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Finding the Third Proportional to 61,441.03 and 97,708.78

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Solution

The third proportional to 61,441.03 and 97,708.78 is: 155,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,441.03 : 97,708.78 = 97,708.78 : x
  2. Step 2: Convert to fraction form
    61,441.03/97,708.78 = 97,708.78/x
  3. Step 3: Cross multiply
    61,441.03x = 97,708.78 × 97,708.78
  4. Step 4: Simplify right side
    61,441.03x = 9,547,005,933.36
  5. Step 5: Solve for x
    x = 9,547,005,933.36/61,441.03
  6. Step 6: Final answer
    x = 155,384.86

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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.