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Finding the Third Proportional to 77,060 and 166,528

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Solution

The third proportional to 77,060 and 166,528 is: 359,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,060 : 166,528 = 166,528 : x
  2. Step 2: Convert to fraction form
    77,060/166,528 = 166,528/x
  3. Step 3: Cross multiply
    77,060x = 166,528 × 166,528
  4. Step 4: Simplify right side
    77,060x = 27,731,574,784
  5. Step 5: Solve for x
    x = 27,731,574,784/77,060
  6. Step 6: Final answer
    x = 359,869.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.