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Finding the Third Proportional to 42,037.81 and 70,063.02

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Solution

The third proportional to 42,037.81 and 70,063.02 is: 116,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037.81 : 70,063.02 = 70,063.02 : x
  2. Step 2: Convert to fraction form
    42,037.81/70,063.02 = 70,063.02/x
  3. Step 3: Cross multiply
    42,037.81x = 70,063.02 × 70,063.02
  4. Step 4: Simplify right side
    42,037.81x = 4,908,827,116.36
  5. Step 5: Solve for x
    x = 4,908,827,116.36/42,037.81
  6. Step 6: Final answer
    x = 116,771.70

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.