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Finding the Third Proportional to 99,708 and 153,258

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Solution

The third proportional to 99,708 and 153,258 is: 235,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708 : 153,258 = 153,258 : x
  2. Step 2: Convert to fraction form
    99,708/153,258 = 153,258/x
  3. Step 3: Cross multiply
    99,708x = 153,258 × 153,258
  4. Step 4: Simplify right side
    99,708x = 23,488,014,564
  5. Step 5: Solve for x
    x = 23,488,014,564/99,708
  6. Step 6: Final answer
    x = 235,568.00

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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.