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Finding the Third Proportional to 67,818 and 147,528

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Solution

The third proportional to 67,818 and 147,528 is: 320,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,818 : 147,528 = 147,528 : x
  2. Step 2: Convert to fraction form
    67,818/147,528 = 147,528/x
  3. Step 3: Cross multiply
    67,818x = 147,528 × 147,528
  4. Step 4: Simplify right side
    67,818x = 21,764,510,784
  5. Step 5: Solve for x
    x = 21,764,510,784/67,818
  6. Step 6: Final answer
    x = 320,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.