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Finding the Third Proportional to 77,506 and 183,785

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Solution

The third proportional to 77,506 and 183,785 is: 435,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506 : 183,785 = 183,785 : x
  2. Step 2: Convert to fraction form
    77,506/183,785 = 183,785/x
  3. Step 3: Cross multiply
    77,506x = 183,785 × 183,785
  4. Step 4: Simplify right side
    77,506x = 33,776,926,225
  5. Step 5: Solve for x
    x = 33,776,926,225/77,506
  6. Step 6: Final answer
    x = 435,797.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.