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Finding the Third Proportional to 98,875 and 148,073

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Solution

The third proportional to 98,875 and 148,073 is: 221,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,875 : 148,073 = 148,073 : x
  2. Step 2: Convert to fraction form
    98,875/148,073 = 148,073/x
  3. Step 3: Cross multiply
    98,875x = 148,073 × 148,073
  4. Step 4: Simplify right side
    98,875x = 21,925,613,329
  5. Step 5: Solve for x
    x = 21,925,613,329/98,875
  6. Step 6: Final answer
    x = 221,750.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.