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Finding the Third Proportional to 94,476 and 147,453

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Solution

The third proportional to 94,476 and 147,453 is: 230,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476 : 147,453 = 147,453 : x
  2. Step 2: Convert to fraction form
    94,476/147,453 = 147,453/x
  3. Step 3: Cross multiply
    94,476x = 147,453 × 147,453
  4. Step 4: Simplify right side
    94,476x = 21,742,387,209
  5. Step 5: Solve for x
    x = 21,742,387,209/94,476
  6. Step 6: Final answer
    x = 230,136.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.