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Finding the Third Proportional to 134,318 and 182,528

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Solution

The third proportional to 134,318 and 182,528 is: 248,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,318 : 182,528 = 182,528 : x
  2. Step 2: Convert to fraction form
    134,318/182,528 = 182,528/x
  3. Step 3: Cross multiply
    134,318x = 182,528 × 182,528
  4. Step 4: Simplify right side
    134,318x = 33,316,470,784
  5. Step 5: Solve for x
    x = 33,316,470,784/134,318
  6. Step 6: Final answer
    x = 248,041.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.