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Finding the Third Proportional to 88,749 and 134,047.50

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Solution

The third proportional to 88,749 and 134,047.50 is: 202,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,749 : 134,047.50 = 134,047.50 : x
  2. Step 2: Convert to fraction form
    88,749/134,047.50 = 134,047.50/x
  3. Step 3: Cross multiply
    88,749x = 134,047.50 × 134,047.50
  4. Step 4: Simplify right side
    88,749x = 17,968,732,256.25
  5. Step 5: Solve for x
    x = 17,968,732,256.25/88,749
  6. Step 6: Final answer
    x = 202,466.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.