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Finding the Third Proportional to 42,970.50 and 90,001.13

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Solution

The third proportional to 42,970.50 and 90,001.13 is: 188,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.50 : 90,001.13 = 90,001.13 : x
  2. Step 2: Convert to fraction form
    42,970.50/90,001.13 = 90,001.13/x
  3. Step 3: Cross multiply
    42,970.50x = 90,001.13 × 90,001.13
  4. Step 4: Simplify right side
    42,970.50x = 8,100,202,501.27
  5. Step 5: Solve for x
    x = 8,100,202,501.27/42,970.50
  6. Step 6: Final answer
    x = 188,506.13

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.