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Finding the Third Proportional to 35,878.13 and 78,214.88

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Solution

The third proportional to 35,878.13 and 78,214.88 is: 170,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.13 : 78,214.88 = 78,214.88 : x
  2. Step 2: Convert to fraction form
    35,878.13/78,214.88 = 78,214.88/x
  3. Step 3: Cross multiply
    35,878.13x = 78,214.88 × 78,214.88
  4. Step 4: Simplify right side
    35,878.13x = 6,117,566,671.27
  5. Step 5: Solve for x
    x = 6,117,566,671.27/35,878.13
  6. Step 6: Final answer
    x = 170,509.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.