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Finding the Third Proportional to 66,030 and 144,582

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Solution

The third proportional to 66,030 and 144,582 is: 316,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,030 : 144,582 = 144,582 : x
  2. Step 2: Convert to fraction form
    66,030/144,582 = 144,582/x
  3. Step 3: Cross multiply
    66,030x = 144,582 × 144,582
  4. Step 4: Simplify right side
    66,030x = 20,903,954,724
  5. Step 5: Solve for x
    x = 20,903,954,724/66,030
  6. Step 6: Final answer
    x = 316,582.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.