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Finding the Third Proportional to 66,560 and 144,784

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Solution

The third proportional to 66,560 and 144,784 is: 314,940.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,560 : 144,784 = 144,784 : x
  2. Step 2: Convert to fraction form
    66,560/144,784 = 144,784/x
  3. Step 3: Cross multiply
    66,560x = 144,784 × 144,784
  4. Step 4: Simplify right side
    66,560x = 20,962,406,656
  5. Step 5: Solve for x
    x = 20,962,406,656/66,560
  6. Step 6: Final answer
    x = 314,940.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.