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Finding the Third Proportional to 52,437 and 83,070

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Solution

The third proportional to 52,437 and 83,070 is: 131,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,437 : 83,070 = 83,070 : x
  2. Step 2: Convert to fraction form
    52,437/83,070 = 83,070/x
  3. Step 3: Cross multiply
    52,437x = 83,070 × 83,070
  4. Step 4: Simplify right side
    52,437x = 6,900,624,900
  5. Step 5: Solve for x
    x = 6,900,624,900/52,437
  6. Step 6: Final answer
    x = 131,598.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.