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Finding the Third Proportional to 59,032.13 and 127,396.13

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Solution

The third proportional to 59,032.13 and 127,396.13 is: 274,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,032.13 : 127,396.13 = 127,396.13 : x
  2. Step 2: Convert to fraction form
    59,032.13/127,396.13 = 127,396.13/x
  3. Step 3: Cross multiply
    59,032.13x = 127,396.13 × 127,396.13
  4. Step 4: Simplify right side
    59,032.13x = 16,229,772,665.02
  5. Step 5: Solve for x
    x = 16,229,772,665.02/59,032.13
  6. Step 6: Final answer
    x = 274,931.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.