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Finding the Third Proportional to 57,128 and 119,428

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Solution

The third proportional to 57,128 and 119,428 is: 249,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,128 : 119,428 = 119,428 : x
  2. Step 2: Convert to fraction form
    57,128/119,428 = 119,428/x
  3. Step 3: Cross multiply
    57,128x = 119,428 × 119,428
  4. Step 4: Simplify right side
    57,128x = 14,263,047,184
  5. Step 5: Solve for x
    x = 14,263,047,184/57,128
  6. Step 6: Final answer
    x = 249,668.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.