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Finding the Third Proportional to 56,592 and 86,117.50

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Solution

The third proportional to 56,592 and 86,117.50 is: 131,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,592 : 86,117.50 = 86,117.50 : x
  2. Step 2: Convert to fraction form
    56,592/86,117.50 = 86,117.50/x
  3. Step 3: Cross multiply
    56,592x = 86,117.50 × 86,117.50
  4. Step 4: Simplify right side
    56,592x = 7,416,223,806.25
  5. Step 5: Solve for x
    x = 7,416,223,806.25/56,592
  6. Step 6: Final answer
    x = 131,047.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.