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Finding the Third Proportional to 74,353.50 and 106,501.50

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Solution

The third proportional to 74,353.50 and 106,501.50 is: 152,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,353.50 : 106,501.50 = 106,501.50 : x
  2. Step 2: Convert to fraction form
    74,353.50/106,501.50 = 106,501.50/x
  3. Step 3: Cross multiply
    74,353.50x = 106,501.50 × 106,501.50
  4. Step 4: Simplify right side
    74,353.50x = 11,342,569,502.25
  5. Step 5: Solve for x
    x = 11,342,569,502.25/74,353.50
  6. Step 6: Final answer
    x = 152,549.23

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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.