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Finding the Third Proportional to 59,112 and 129,528

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Solution

The third proportional to 59,112 and 129,528 is: 283,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,112 : 129,528 = 129,528 : x
  2. Step 2: Convert to fraction form
    59,112/129,528 = 129,528/x
  3. Step 3: Cross multiply
    59,112x = 129,528 × 129,528
  4. Step 4: Simplify right side
    59,112x = 16,777,502,784
  5. Step 5: Solve for x
    x = 16,777,502,784/59,112
  6. Step 6: Final answer
    x = 283,825.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.