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Finding the Third Proportional to 61,191 and 89,437.50

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Solution

The third proportional to 61,191 and 89,437.50 is: 130,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,191 : 89,437.50 = 89,437.50 : x
  2. Step 2: Convert to fraction form
    61,191/89,437.50 = 89,437.50/x
  3. Step 3: Cross multiply
    61,191x = 89,437.50 × 89,437.50
  4. Step 4: Simplify right side
    61,191x = 7,999,066,406.25
  5. Step 5: Solve for x
    x = 7,999,066,406.25/61,191
  6. Step 6: Final answer
    x = 130,722.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.