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Finding the Third Proportional to 42,429.50 and 88,345

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Solution

The third proportional to 42,429.50 and 88,345 is: 183,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,429.50 : 88,345 = 88,345 : x
  2. Step 2: Convert to fraction form
    42,429.50/88,345 = 88,345/x
  3. Step 3: Cross multiply
    42,429.50x = 88,345 × 88,345
  4. Step 4: Simplify right side
    42,429.50x = 7,804,839,025
  5. Step 5: Solve for x
    x = 7,804,839,025/42,429.50
  6. Step 6: Final answer
    x = 183,948.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.