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Finding the Third Proportional to 77,752.41 and 118,690.31

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Solution

The third proportional to 77,752.41 and 118,690.31 is: 181,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,752.41 : 118,690.31 = 118,690.31 : x
  2. Step 2: Convert to fraction form
    77,752.41/118,690.31 = 118,690.31/x
  3. Step 3: Cross multiply
    77,752.41x = 118,690.31 × 118,690.31
  4. Step 4: Simplify right side
    77,752.41x = 14,087,390,281.35
  5. Step 5: Solve for x
    x = 14,087,390,281.35/77,752.41
  6. Step 6: Final answer
    x = 181,182.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.