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Finding the Third Proportional to 45,040 and 97,772

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Solution

The third proportional to 45,040 and 97,772 is: 212,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,040 : 97,772 = 97,772 : x
  2. Step 2: Convert to fraction form
    45,040/97,772 = 97,772/x
  3. Step 3: Cross multiply
    45,040x = 97,772 × 97,772
  4. Step 4: Simplify right side
    45,040x = 9,559,363,984
  5. Step 5: Solve for x
    x = 9,559,363,984/45,040
  6. Step 6: Final answer
    x = 212,241.65

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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.