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Finding the Third Proportional to 99,360 and 153,504

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Solution

The third proportional to 99,360 and 153,504 is: 237,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,360 : 153,504 = 153,504 : x
  2. Step 2: Convert to fraction form
    99,360/153,504 = 153,504/x
  3. Step 3: Cross multiply
    99,360x = 153,504 × 153,504
  4. Step 4: Simplify right side
    99,360x = 23,563,478,016
  5. Step 5: Solve for x
    x = 23,563,478,016/99,360
  6. Step 6: Final answer
    x = 237,152.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.