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Finding the Third Proportional to 42,065 and 88,024

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Solution

The third proportional to 42,065 and 88,024 is: 184,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065 : 88,024 = 88,024 : x
  2. Step 2: Convert to fraction form
    42,065/88,024 = 88,024/x
  3. Step 3: Cross multiply
    42,065x = 88,024 × 88,024
  4. Step 4: Simplify right side
    42,065x = 7,748,224,576
  5. Step 5: Solve for x
    x = 7,748,224,576/42,065
  6. Step 6: Final answer
    x = 184,196.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.