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Finding the Third Proportional to 69,335 and 99,080.50

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Solution

The third proportional to 69,335 and 99,080.50 is: 141,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,335 : 99,080.50 = 99,080.50 : x
  2. Step 2: Convert to fraction form
    69,335/99,080.50 = 99,080.50/x
  3. Step 3: Cross multiply
    69,335x = 99,080.50 × 99,080.50
  4. Step 4: Simplify right side
    69,335x = 9,816,945,480.25
  5. Step 5: Solve for x
    x = 9,816,945,480.25/69,335
  6. Step 6: Final answer
    x = 141,587.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.