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Finding the Third Proportional to 56,127 and 85,810.50

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Solution

The third proportional to 56,127 and 85,810.50 is: 131,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,127 : 85,810.50 = 85,810.50 : x
  2. Step 2: Convert to fraction form
    56,127/85,810.50 = 85,810.50/x
  3. Step 3: Cross multiply
    56,127x = 85,810.50 × 85,810.50
  4. Step 4: Simplify right side
    56,127x = 7,363,441,910.25
  5. Step 5: Solve for x
    x = 7,363,441,910.25/56,127
  6. Step 6: Final answer
    x = 131,192.51

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