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Finding the Third Proportional to 66,810 and 144,528

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Solution

The third proportional to 66,810 and 144,528 is: 312,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,810 : 144,528 = 144,528 : x
  2. Step 2: Convert to fraction form
    66,810/144,528 = 144,528/x
  3. Step 3: Cross multiply
    66,810x = 144,528 × 144,528
  4. Step 4: Simplify right side
    66,810x = 20,888,342,784
  5. Step 5: Solve for x
    x = 20,888,342,784/66,810
  6. Step 6: Final answer
    x = 312,652.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.