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Finding the Third Proportional to 85,428 and 127,442

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Solution

The third proportional to 85,428 and 127,442 is: 190,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 127,442 = 127,442 : x
  2. Step 2: Convert to fraction form
    85,428/127,442 = 127,442/x
  3. Step 3: Cross multiply
    85,428x = 127,442 × 127,442
  4. Step 4: Simplify right side
    85,428x = 16,241,463,364
  5. Step 5: Solve for x
    x = 16,241,463,364/85,428
  6. Step 6: Final answer
    x = 190,118.74

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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.