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Finding the Third Proportional to 57,360 and 85,428

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Solution

The third proportional to 57,360 and 85,428 is: 127,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,360 : 85,428 = 85,428 : x
  2. Step 2: Convert to fraction form
    57,360/85,428 = 85,428/x
  3. Step 3: Cross multiply
    57,360x = 85,428 × 85,428
  4. Step 4: Simplify right side
    57,360x = 7,297,943,184
  5. Step 5: Solve for x
    x = 7,297,943,184/57,360
  6. Step 6: Final answer
    x = 127,230.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.