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Finding the Third Proportional to 66,465 and 144,594

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Solution

The third proportional to 66,465 and 144,594 is: 314,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465 : 144,594 = 144,594 : x
  2. Step 2: Convert to fraction form
    66,465/144,594 = 144,594/x
  3. Step 3: Cross multiply
    66,465x = 144,594 × 144,594
  4. Step 4: Simplify right side
    66,465x = 20,907,424,836
  5. Step 5: Solve for x
    x = 20,907,424,836/66,465
  6. Step 6: Final answer
    x = 314,562.93

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Why These Related Problems?

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