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Finding the Third Proportional to 73,516 and 103,528

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Solution

The third proportional to 73,516 and 103,528 is: 145,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,516 : 103,528 = 103,528 : x
  2. Step 2: Convert to fraction form
    73,516/103,528 = 103,528/x
  3. Step 3: Cross multiply
    73,516x = 103,528 × 103,528
  4. Step 4: Simplify right side
    73,516x = 10,718,046,784
  5. Step 5: Solve for x
    x = 10,718,046,784/73,516
  6. Step 6: Final answer
    x = 145,792.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.