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Finding the Third Proportional to 55,931 and 84,711.50

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Solution

The third proportional to 55,931 and 84,711.50 is: 128,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931 : 84,711.50 = 84,711.50 : x
  2. Step 2: Convert to fraction form
    55,931/84,711.50 = 84,711.50/x
  3. Step 3: Cross multiply
    55,931x = 84,711.50 × 84,711.50
  4. Step 4: Simplify right side
    55,931x = 7,176,038,232.25
  5. Step 5: Solve for x
    x = 7,176,038,232.25/55,931
  6. Step 6: Final answer
    x = 128,301.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.