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Finding the Third Proportional to 102,672 and 153,590.25

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Solution

The third proportional to 102,672 and 153,590.25 is: 229,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,672 : 153,590.25 = 153,590.25 : x
  2. Step 2: Convert to fraction form
    102,672/153,590.25 = 153,590.25/x
  3. Step 3: Cross multiply
    102,672x = 153,590.25 × 153,590.25
  4. Step 4: Simplify right side
    102,672x = 23,589,964,895.06
  5. Step 5: Solve for x
    x = 23,589,964,895.06/102,672
  6. Step 6: Final answer
    x = 229,760.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.