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Finding the Third Proportional to 161,977.50 and 182,275.50

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Solution

The third proportional to 161,977.50 and 182,275.50 is: 205,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,977.50 : 182,275.50 = 182,275.50 : x
  2. Step 2: Convert to fraction form
    161,977.50/182,275.50 = 182,275.50/x
  3. Step 3: Cross multiply
    161,977.50x = 182,275.50 × 182,275.50
  4. Step 4: Simplify right side
    161,977.50x = 33,224,357,900.25
  5. Step 5: Solve for x
    x = 33,224,357,900.25/161,977.50
  6. Step 6: Final answer
    x = 205,117.12

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.