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Finding the Third Proportional to 78,004.50 and 128,130.75

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Solution

The third proportional to 78,004.50 and 128,130.75 is: 210,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.50 : 128,130.75 = 128,130.75 : x
  2. Step 2: Convert to fraction form
    78,004.50/128,130.75 = 128,130.75/x
  3. Step 3: Cross multiply
    78,004.50x = 128,130.75 × 128,130.75
  4. Step 4: Simplify right side
    78,004.50x = 16,417,489,095.56
  5. Step 5: Solve for x
    x = 16,417,489,095.56/78,004.50
  6. Step 6: Final answer
    x = 210,468.49

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.