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Finding the Third Proportional to 34,767 and 75,076.88

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Solution

The third proportional to 34,767 and 75,076.88 is: 162,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 75,076.88 = 75,076.88 : x
  2. Step 2: Convert to fraction form
    34,767/75,076.88 = 75,076.88/x
  3. Step 3: Cross multiply
    34,767x = 75,076.88 × 75,076.88
  4. Step 4: Simplify right side
    34,767x = 5,636,537,159.77
  5. Step 5: Solve for x
    x = 5,636,537,159.77/34,767
  6. Step 6: Final answer
    x = 162,123.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.