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Finding the Third Proportional to 53,506 and 82,807

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Solution

The third proportional to 53,506 and 82,807 is: 128,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,506 : 82,807 = 82,807 : x
  2. Step 2: Convert to fraction form
    53,506/82,807 = 82,807/x
  3. Step 3: Cross multiply
    53,506x = 82,807 × 82,807
  4. Step 4: Simplify right side
    53,506x = 6,856,999,249
  5. Step 5: Solve for x
    x = 6,856,999,249/53,506
  6. Step 6: Final answer
    x = 128,153.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.