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Finding the Third Proportional to 61,476 and 134,528

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Solution

The third proportional to 61,476 and 134,528 is: 294,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,476 : 134,528 = 134,528 : x
  2. Step 2: Convert to fraction form
    61,476/134,528 = 134,528/x
  3. Step 3: Cross multiply
    61,476x = 134,528 × 134,528
  4. Step 4: Simplify right side
    61,476x = 18,097,782,784
  5. Step 5: Solve for x
    x = 18,097,782,784/61,476
  6. Step 6: Final answer
    x = 294,387.77

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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.