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Finding the Third Proportional to 91,742.50 and 193,459

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Solution

The third proportional to 91,742.50 and 193,459 is: 407,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742.50 : 193,459 = 193,459 : x
  2. Step 2: Convert to fraction form
    91,742.50/193,459 = 193,459/x
  3. Step 3: Cross multiply
    91,742.50x = 193,459 × 193,459
  4. Step 4: Simplify right side
    91,742.50x = 37,426,384,681
  5. Step 5: Solve for x
    x = 37,426,384,681/91,742.50
  6. Step 6: Final answer
    x = 407,950.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.