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Finding the Third Proportional to 87,547.50 and 128,216.25

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Solution

The third proportional to 87,547.50 and 128,216.25 is: 187,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,547.50 : 128,216.25 = 128,216.25 : x
  2. Step 2: Convert to fraction form
    87,547.50/128,216.25 = 128,216.25/x
  3. Step 3: Cross multiply
    87,547.50x = 128,216.25 × 128,216.25
  4. Step 4: Simplify right side
    87,547.50x = 16,439,406,764.06
  5. Step 5: Solve for x
    x = 16,439,406,764.06/87,547.50
  6. Step 6: Final answer
    x = 187,777.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.