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Finding the Third Proportional to 69,514.88 and 152,565.19

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Solution

The third proportional to 69,514.88 and 152,565.19 is: 334,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,514.88 : 152,565.19 = 152,565.19 : x
  2. Step 2: Convert to fraction form
    69,514.88/152,565.19 = 152,565.19/x
  3. Step 3: Cross multiply
    69,514.88x = 152,565.19 × 152,565.19
  4. Step 4: Simplify right side
    69,514.88x = 23,276,136,436.91
  5. Step 5: Solve for x
    x = 23,276,136,436.91/69,514.88
  6. Step 6: Final answer
    x = 334,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.