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Finding the Third Proportional to 70,123.50 and 153,097

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Solution

The third proportional to 70,123.50 and 153,097 is: 334,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,123.50 : 153,097 = 153,097 : x
  2. Step 2: Convert to fraction form
    70,123.50/153,097 = 153,097/x
  3. Step 3: Cross multiply
    70,123.50x = 153,097 × 153,097
  4. Step 4: Simplify right side
    70,123.50x = 23,438,691,409
  5. Step 5: Solve for x
    x = 23,438,691,409/70,123.50
  6. Step 6: Final answer
    x = 334,248.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.