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Finding the Third Proportional to 86,967 and 117,490.50

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Solution

The third proportional to 86,967 and 117,490.50 is: 158,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 117,490.50 = 117,490.50 : x
  2. Step 2: Convert to fraction form
    86,967/117,490.50 = 117,490.50/x
  3. Step 3: Cross multiply
    86,967x = 117,490.50 × 117,490.50
  4. Step 4: Simplify right side
    86,967x = 13,804,017,590.25
  5. Step 5: Solve for x
    x = 13,804,017,590.25/86,967
  6. Step 6: Final answer
    x = 158,727.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.