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Finding the Third Proportional to 53,176.50 and 70,953.75

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Solution

The third proportional to 53,176.50 and 70,953.75 is: 94,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,176.50 : 70,953.75 = 70,953.75 : x
  2. Step 2: Convert to fraction form
    53,176.50/70,953.75 = 70,953.75/x
  3. Step 3: Cross multiply
    53,176.50x = 70,953.75 × 70,953.75
  4. Step 4: Simplify right side
    53,176.50x = 5,034,434,639.06
  5. Step 5: Solve for x
    x = 5,034,434,639.06/53,176.50
  6. Step 6: Final answer
    x = 94,674.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.