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Finding the Third Proportional to 96,074 and 153,480

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Solution

The third proportional to 96,074 and 153,480 is: 245,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,074 : 153,480 = 153,480 : x
  2. Step 2: Convert to fraction form
    96,074/153,480 = 153,480/x
  3. Step 3: Cross multiply
    96,074x = 153,480 × 153,480
  4. Step 4: Simplify right side
    96,074x = 23,556,110,400
  5. Step 5: Solve for x
    x = 23,556,110,400/96,074
  6. Step 6: Final answer
    x = 245,187.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.