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Finding the Third Proportional to 100,948 and 147,750

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Solution

The third proportional to 100,948 and 147,750 is: 216,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948 : 147,750 = 147,750 : x
  2. Step 2: Convert to fraction form
    100,948/147,750 = 147,750/x
  3. Step 3: Cross multiply
    100,948x = 147,750 × 147,750
  4. Step 4: Simplify right side
    100,948x = 21,830,062,500
  5. Step 5: Solve for x
    x = 21,830,062,500/100,948
  6. Step 6: Final answer
    x = 216,250.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.