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Finding the Third Proportional to 77,526 and 119,946

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Solution

The third proportional to 77,526 and 119,946 is: 185,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,526 : 119,946 = 119,946 : x
  2. Step 2: Convert to fraction form
    77,526/119,946 = 119,946/x
  3. Step 3: Cross multiply
    77,526x = 119,946 × 119,946
  4. Step 4: Simplify right side
    77,526x = 14,387,042,916
  5. Step 5: Solve for x
    x = 14,387,042,916/77,526
  6. Step 6: Final answer
    x = 185,577.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.