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Finding the Third Proportional to 103,521 and 141,430.50

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Solution

The third proportional to 103,521 and 141,430.50 is: 193,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,521 : 141,430.50 = 141,430.50 : x
  2. Step 2: Convert to fraction form
    103,521/141,430.50 = 141,430.50/x
  3. Step 3: Cross multiply
    103,521x = 141,430.50 × 141,430.50
  4. Step 4: Simplify right side
    103,521x = 20,002,586,330.25
  5. Step 5: Solve for x
    x = 20,002,586,330.25/103,521
  6. Step 6: Final answer
    x = 193,222.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.