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Finding the Third Proportional to 68,009.63 and 130,018.50

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Solution

The third proportional to 68,009.63 and 130,018.50 is: 248,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,009.63 : 130,018.50 = 130,018.50 : x
  2. Step 2: Convert to fraction form
    68,009.63/130,018.50 = 130,018.50/x
  3. Step 3: Cross multiply
    68,009.63x = 130,018.50 × 130,018.50
  4. Step 4: Simplify right side
    68,009.63x = 16,904,810,342.25
  5. Step 5: Solve for x
    x = 16,904,810,342.25/68,009.63
  6. Step 6: Final answer
    x = 248,564.97

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.