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Finding the Third Proportional to 68,830.17 and 96,929.58

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Solution

The third proportional to 68,830.17 and 96,929.58 is: 136,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,830.17 : 96,929.58 = 96,929.58 : x
  2. Step 2: Convert to fraction form
    68,830.17/96,929.58 = 96,929.58/x
  3. Step 3: Cross multiply
    68,830.17x = 96,929.58 × 96,929.58
  4. Step 4: Simplify right side
    68,830.17x = 9,395,343,115.49
  5. Step 5: Solve for x
    x = 9,395,343,115.49/68,830.17
  6. Step 6: Final answer
    x = 136,500.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.