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Finding the Third Proportional to 45,953.50 and 99,541

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Solution

The third proportional to 45,953.50 and 99,541 is: 215,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,953.50 : 99,541 = 99,541 : x
  2. Step 2: Convert to fraction form
    45,953.50/99,541 = 99,541/x
  3. Step 3: Cross multiply
    45,953.50x = 99,541 × 99,541
  4. Step 4: Simplify right side
    45,953.50x = 9,908,410,681
  5. Step 5: Solve for x
    x = 9,908,410,681/45,953.50
  6. Step 6: Final answer
    x = 215,618.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.