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Finding the Third Proportional to 91,855 and 130,010.50

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Solution

The third proportional to 91,855 and 130,010.50 is: 184,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,855 : 130,010.50 = 130,010.50 : x
  2. Step 2: Convert to fraction form
    91,855/130,010.50 = 130,010.50/x
  3. Step 3: Cross multiply
    91,855x = 130,010.50 × 130,010.50
  4. Step 4: Simplify right side
    91,855x = 16,902,730,110.25
  5. Step 5: Solve for x
    x = 16,902,730,110.25/91,855
  6. Step 6: Final answer
    x = 184,015.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.