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Finding the Third Proportional to 69,503.06 and 142,279.88

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Solution

The third proportional to 69,503.06 and 142,279.88 is: 291,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,503.06 : 142,279.88 = 142,279.88 : x
  2. Step 2: Convert to fraction form
    69,503.06/142,279.88 = 142,279.88/x
  3. Step 3: Cross multiply
    69,503.06x = 142,279.88 × 142,279.88
  4. Step 4: Simplify right side
    69,503.06x = 20,243,562,830.02
  5. Step 5: Solve for x
    x = 20,243,562,830.02/69,503.06
  6. Step 6: Final answer
    x = 291,261.45

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.