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Finding the Third Proportional to 98,314 and 148,277

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Solution

The third proportional to 98,314 and 148,277 is: 223,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314 : 148,277 = 148,277 : x
  2. Step 2: Convert to fraction form
    98,314/148,277 = 148,277/x
  3. Step 3: Cross multiply
    98,314x = 148,277 × 148,277
  4. Step 4: Simplify right side
    98,314x = 21,986,068,729
  5. Step 5: Solve for x
    x = 21,986,068,729/98,314
  6. Step 6: Final answer
    x = 223,631.11

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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.