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Finding the Third Proportional to 74,871 and 99,670.50

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Solution

The third proportional to 74,871 and 99,670.50 is: 132,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871 : 99,670.50 = 99,670.50 : x
  2. Step 2: Convert to fraction form
    74,871/99,670.50 = 99,670.50/x
  3. Step 3: Cross multiply
    74,871x = 99,670.50 × 99,670.50
  4. Step 4: Simplify right side
    74,871x = 9,934,208,570.25
  5. Step 5: Solve for x
    x = 9,934,208,570.25/74,871
  6. Step 6: Final answer
    x = 132,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.