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Finding the Third Proportional to 77,034 and 165,565.50

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Solution

The third proportional to 77,034 and 165,565.50 is: 355,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034 : 165,565.50 = 165,565.50 : x
  2. Step 2: Convert to fraction form
    77,034/165,565.50 = 165,565.50/x
  3. Step 3: Cross multiply
    77,034x = 165,565.50 × 165,565.50
  4. Step 4: Simplify right side
    77,034x = 27,411,934,790.25
  5. Step 5: Solve for x
    x = 27,411,934,790.25/77,034
  6. Step 6: Final answer
    x = 355,842.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.