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Finding the Third Proportional to 98,674 and 153,066

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Solution

The third proportional to 98,674 and 153,066 is: 237,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,674 : 153,066 = 153,066 : x
  2. Step 2: Convert to fraction form
    98,674/153,066 = 153,066/x
  3. Step 3: Cross multiply
    98,674x = 153,066 × 153,066
  4. Step 4: Simplify right side
    98,674x = 23,429,200,356
  5. Step 5: Solve for x
    x = 23,429,200,356/98,674
  6. Step 6: Final answer
    x = 237,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.