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Finding the Third Proportional to 53,220 and 88,696.50

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Solution

The third proportional to 53,220 and 88,696.50 is: 147,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,220 : 88,696.50 = 88,696.50 : x
  2. Step 2: Convert to fraction form
    53,220/88,696.50 = 88,696.50/x
  3. Step 3: Cross multiply
    53,220x = 88,696.50 × 88,696.50
  4. Step 4: Simplify right side
    53,220x = 7,867,069,112.25
  5. Step 5: Solve for x
    x = 7,867,069,112.25/53,220
  6. Step 6: Final answer
    x = 147,821.67

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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.