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Finding the Third Proportional to 78,526 and 119,428

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Solution

The third proportional to 78,526 and 119,428 is: 181,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526 : 119,428 = 119,428 : x
  2. Step 2: Convert to fraction form
    78,526/119,428 = 119,428/x
  3. Step 3: Cross multiply
    78,526x = 119,428 × 119,428
  4. Step 4: Simplify right side
    78,526x = 14,263,047,184
  5. Step 5: Solve for x
    x = 14,263,047,184/78,526
  6. Step 6: Final answer
    x = 181,634.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.