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Finding the Third Proportional to 61,560 and 133,903.13

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Solution

The third proportional to 61,560 and 133,903.13 is: 291,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 133,903.13 = 133,903.13 : x
  2. Step 2: Convert to fraction form
    61,560/133,903.13 = 133,903.13/x
  3. Step 3: Cross multiply
    61,560x = 133,903.13 × 133,903.13
  4. Step 4: Simplify right side
    61,560x = 17,930,046,884.77
  5. Step 5: Solve for x
    x = 17,930,046,884.77/61,560
  6. Step 6: Final answer
    x = 291,261.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.