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Finding the Third Proportional to 90,952 and 140,316

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Solution

The third proportional to 90,952 and 140,316 is: 216,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,952 : 140,316 = 140,316 : x
  2. Step 2: Convert to fraction form
    90,952/140,316 = 140,316/x
  3. Step 3: Cross multiply
    90,952x = 140,316 × 140,316
  4. Step 4: Simplify right side
    90,952x = 19,688,579,856
  5. Step 5: Solve for x
    x = 19,688,579,856/90,952
  6. Step 6: Final answer
    x = 216,472.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.