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Finding the Third Proportional to 52,807 and 81,058.50

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Solution

The third proportional to 52,807 and 81,058.50 is: 124,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807 : 81,058.50 = 81,058.50 : x
  2. Step 2: Convert to fraction form
    52,807/81,058.50 = 81,058.50/x
  3. Step 3: Cross multiply
    52,807x = 81,058.50 × 81,058.50
  4. Step 4: Simplify right side
    52,807x = 6,570,480,422.25
  5. Step 5: Solve for x
    x = 6,570,480,422.25/52,807
  6. Step 6: Final answer
    x = 124,424.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.