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Finding the Third Proportional to 96,076 and 153,482

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Solution

The third proportional to 96,076 and 153,482 is: 245,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076 : 153,482 = 153,482 : x
  2. Step 2: Convert to fraction form
    96,076/153,482 = 153,482/x
  3. Step 3: Cross multiply
    96,076x = 153,482 × 153,482
  4. Step 4: Simplify right side
    96,076x = 23,556,724,324
  5. Step 5: Solve for x
    x = 23,556,724,324/96,076
  6. Step 6: Final answer
    x = 245,188.44

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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.