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Finding the Third Proportional to 92,332.50 and 141,298.50

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Solution

The third proportional to 92,332.50 and 141,298.50 is: 216,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,332.50 : 141,298.50 = 141,298.50 : x
  2. Step 2: Convert to fraction form
    92,332.50/141,298.50 = 141,298.50/x
  3. Step 3: Cross multiply
    92,332.50x = 141,298.50 × 141,298.50
  4. Step 4: Simplify right side
    92,332.50x = 19,965,266,102.25
  5. Step 5: Solve for x
    x = 19,965,266,102.25/92,332.50
  6. Step 6: Final answer
    x = 216,232.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.