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Finding the Third Proportional to 45,666 and 68,312.25

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Solution

The third proportional to 45,666 and 68,312.25 is: 102,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,666 : 68,312.25 = 68,312.25 : x
  2. Step 2: Convert to fraction form
    45,666/68,312.25 = 68,312.25/x
  3. Step 3: Cross multiply
    45,666x = 68,312.25 × 68,312.25
  4. Step 4: Simplify right side
    45,666x = 4,666,563,500.06
  5. Step 5: Solve for x
    x = 4,666,563,500.06/45,666
  6. Step 6: Final answer
    x = 102,189.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.