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Finding the Third Proportional to 91,342 and 143,323

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Solution

The third proportional to 91,342 and 143,323 is: 224,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,342 : 143,323 = 143,323 : x
  2. Step 2: Convert to fraction form
    91,342/143,323 = 143,323/x
  3. Step 3: Cross multiply
    91,342x = 143,323 × 143,323
  4. Step 4: Simplify right side
    91,342x = 20,541,482,329
  5. Step 5: Solve for x
    x = 20,541,482,329/91,342
  6. Step 6: Final answer
    x = 224,885.40

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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.