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Finding the Third Proportional to 66,315 and 101,409

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Solution

The third proportional to 66,315 and 101,409 is: 155,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,315 : 101,409 = 101,409 : x
  2. Step 2: Convert to fraction form
    66,315/101,409 = 101,409/x
  3. Step 3: Cross multiply
    66,315x = 101,409 × 101,409
  4. Step 4: Simplify right side
    66,315x = 10,283,785,281
  5. Step 5: Solve for x
    x = 10,283,785,281/66,315
  6. Step 6: Final answer
    x = 155,074.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.