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Finding the Third Proportional to 55,251 and 84,973.50

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Solution

The third proportional to 55,251 and 84,973.50 is: 130,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251 : 84,973.50 = 84,973.50 : x
  2. Step 2: Convert to fraction form
    55,251/84,973.50 = 84,973.50/x
  3. Step 3: Cross multiply
    55,251x = 84,973.50 × 84,973.50
  4. Step 4: Simplify right side
    55,251x = 7,220,495,702.25
  5. Step 5: Solve for x
    x = 7,220,495,702.25/55,251
  6. Step 6: Final answer
    x = 130,685.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.