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Finding the Third Proportional to 91,952 and 201,130

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Solution

The third proportional to 91,952 and 201,130 is: 439,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,952 : 201,130 = 201,130 : x
  2. Step 2: Convert to fraction form
    91,952/201,130 = 201,130/x
  3. Step 3: Cross multiply
    91,952x = 201,130 × 201,130
  4. Step 4: Simplify right side
    91,952x = 40,453,276,900
  5. Step 5: Solve for x
    x = 40,453,276,900/91,952
  6. Step 6: Final answer
    x = 439,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.