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Finding the Third Proportional to 70,147.50 and 105,302.50

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Solution

The third proportional to 70,147.50 and 105,302.50 is: 158,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147.50 : 105,302.50 = 105,302.50 : x
  2. Step 2: Convert to fraction form
    70,147.50/105,302.50 = 105,302.50/x
  3. Step 3: Cross multiply
    70,147.50x = 105,302.50 × 105,302.50
  4. Step 4: Simplify right side
    70,147.50x = 11,088,616,506.25
  5. Step 5: Solve for x
    x = 11,088,616,506.25/70,147.50
  6. Step 6: Final answer
    x = 158,075.72

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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.