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Finding the Third Proportional to 72,492 and 147,033

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Solution

The third proportional to 72,492 and 147,033 is: 298,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,492 : 147,033 = 147,033 : x
  2. Step 2: Convert to fraction form
    72,492/147,033 = 147,033/x
  3. Step 3: Cross multiply
    72,492x = 147,033 × 147,033
  4. Step 4: Simplify right side
    72,492x = 21,618,703,089
  5. Step 5: Solve for x
    x = 21,618,703,089/72,492
  6. Step 6: Final answer
    x = 298,221.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.