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Finding the Third Proportional to 66,688.50 and 127,226.25

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Solution

The third proportional to 66,688.50 and 127,226.25 is: 242,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,688.50 : 127,226.25 = 127,226.25 : x
  2. Step 2: Convert to fraction form
    66,688.50/127,226.25 = 127,226.25/x
  3. Step 3: Cross multiply
    66,688.50x = 127,226.25 × 127,226.25
  4. Step 4: Simplify right side
    66,688.50x = 16,186,518,689.06
  5. Step 5: Solve for x
    x = 16,186,518,689.06/66,688.50
  6. Step 6: Final answer
    x = 242,718.29

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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.