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Finding the Third Proportional to 91,356.19 and 143,344.69

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Solution

The third proportional to 91,356.19 and 143,344.69 is: 224,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,356.19 : 143,344.69 = 143,344.69 : x
  2. Step 2: Convert to fraction form
    91,356.19/143,344.69 = 143,344.69/x
  3. Step 3: Cross multiply
    91,356.19x = 143,344.69 × 143,344.69
  4. Step 4: Simplify right side
    91,356.19x = 20,547,699,434.47
  5. Step 5: Solve for x
    x = 20,547,699,434.47/91,356.19
  6. Step 6: Final answer
    x = 224,918.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.