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Finding the Third Proportional to 70,038 and 105,128.72

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Solution

The third proportional to 70,038 and 105,128.72 is: 157,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038 : 105,128.72 = 105,128.72 : x
  2. Step 2: Convert to fraction form
    70,038/105,128.72 = 105,128.72/x
  3. Step 3: Cross multiply
    70,038x = 105,128.72 × 105,128.72
  4. Step 4: Simplify right side
    70,038x = 11,052,047,506.02
  5. Step 5: Solve for x
    x = 11,052,047,506.02/70,038
  6. Step 6: Final answer
    x = 157,800.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.