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Finding the Third Proportional to 105,903 and 148,126.50

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Solution

The third proportional to 105,903 and 148,126.50 is: 207,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903 : 148,126.50 = 148,126.50 : x
  2. Step 2: Convert to fraction form
    105,903/148,126.50 = 148,126.50/x
  3. Step 3: Cross multiply
    105,903x = 148,126.50 × 148,126.50
  4. Step 4: Simplify right side
    105,903x = 21,941,460,002.25
  5. Step 5: Solve for x
    x = 21,941,460,002.25/105,903
  6. Step 6: Final answer
    x = 207,184.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.