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Finding the Third Proportional to 53,220 and 88,696

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Solution

The third proportional to 53,220 and 88,696 is: 147,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,220 : 88,696 = 88,696 : x
  2. Step 2: Convert to fraction form
    53,220/88,696 = 88,696/x
  3. Step 3: Cross multiply
    53,220x = 88,696 × 88,696
  4. Step 4: Simplify right side
    53,220x = 7,866,980,416
  5. Step 5: Solve for x
    x = 7,866,980,416/53,220
  6. Step 6: Final answer
    x = 147,820.00

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