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Finding the Third Proportional to 60,103 and 128,544.13

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Solution

The third proportional to 60,103 and 128,544.13 is: 274,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,103 : 128,544.13 = 128,544.13 : x
  2. Step 2: Convert to fraction form
    60,103/128,544.13 = 128,544.13/x
  3. Step 3: Cross multiply
    60,103x = 128,544.13 × 128,544.13
  4. Step 4: Simplify right side
    60,103x = 16,523,592,072.02
  5. Step 5: Solve for x
    x = 16,523,592,072.02/60,103
  6. Step 6: Final answer
    x = 274,921.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.