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Finding the Third Proportional to 98,313 and 148,275

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Solution

The third proportional to 98,313 and 148,275 is: 223,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313 : 148,275 = 148,275 : x
  2. Step 2: Convert to fraction form
    98,313/148,275 = 148,275/x
  3. Step 3: Cross multiply
    98,313x = 148,275 × 148,275
  4. Step 4: Simplify right side
    98,313x = 21,985,475,625
  5. Step 5: Solve for x
    x = 21,985,475,625/98,313
  6. Step 6: Final answer
    x = 223,627.35

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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.