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Finding the Third Proportional to 53,232 and 88,720

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Solution

The third proportional to 53,232 and 88,720 is: 147,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,232 : 88,720 = 88,720 : x
  2. Step 2: Convert to fraction form
    53,232/88,720 = 88,720/x
  3. Step 3: Cross multiply
    53,232x = 88,720 × 88,720
  4. Step 4: Simplify right side
    53,232x = 7,871,238,400
  5. Step 5: Solve for x
    x = 7,871,238,400/53,232
  6. Step 6: Final answer
    x = 147,866.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.