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Finding the Third Proportional to 88,942 and 130,442

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Solution

The third proportional to 88,942 and 130,442 is: 191,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,942 : 130,442 = 130,442 : x
  2. Step 2: Convert to fraction form
    88,942/130,442 = 130,442/x
  3. Step 3: Cross multiply
    88,942x = 130,442 × 130,442
  4. Step 4: Simplify right side
    88,942x = 17,015,115,364
  5. Step 5: Solve for x
    x = 17,015,115,364/88,942
  6. Step 6: Final answer
    x = 191,305.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.