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Finding the Third Proportional to 66,558 and 100,528

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Solution

The third proportional to 66,558 and 100,528 is: 151,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,558 : 100,528 = 100,528 : x
  2. Step 2: Convert to fraction form
    66,558/100,528 = 100,528/x
  3. Step 3: Cross multiply
    66,558x = 100,528 × 100,528
  4. Step 4: Simplify right side
    66,558x = 10,105,878,784
  5. Step 5: Solve for x
    x = 10,105,878,784/66,558
  6. Step 6: Final answer
    x = 151,835.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.