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Finding the Third Proportional to 102,304.50 and 155,036.25

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Solution

The third proportional to 102,304.50 and 155,036.25 is: 234,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304.50 : 155,036.25 = 155,036.25 : x
  2. Step 2: Convert to fraction form
    102,304.50/155,036.25 = 155,036.25/x
  3. Step 3: Cross multiply
    102,304.50x = 155,036.25 × 155,036.25
  4. Step 4: Simplify right side
    102,304.50x = 24,036,238,814.06
  5. Step 5: Solve for x
    x = 24,036,238,814.06/102,304.50
  6. Step 6: Final answer
    x = 234,948.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.