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Finding the Third Proportional to 91,336 and 143,316

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Solution

The third proportional to 91,336 and 143,316 is: 224,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,336 : 143,316 = 143,316 : x
  2. Step 2: Convert to fraction form
    91,336/143,316 = 143,316/x
  3. Step 3: Cross multiply
    91,336x = 143,316 × 143,316
  4. Step 4: Simplify right side
    91,336x = 20,539,475,856
  5. Step 5: Solve for x
    x = 20,539,475,856/91,336
  6. Step 6: Final answer
    x = 224,878.21

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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.