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Finding the Third Proportional to 57,277.13 and 121,510.13

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Solution

The third proportional to 57,277.13 and 121,510.13 is: 257,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.13 : 121,510.13 = 121,510.13 : x
  2. Step 2: Convert to fraction form
    57,277.13/121,510.13 = 121,510.13/x
  3. Step 3: Cross multiply
    57,277.13x = 121,510.13 × 121,510.13
  4. Step 4: Simplify right side
    57,277.13x = 14,764,710,477.52
  5. Step 5: Solve for x
    x = 14,764,710,477.52/57,277.13
  6. Step 6: Final answer
    x = 257,776.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.