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Finding the Third Proportional to 59,784 and 128,154

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Solution

The third proportional to 59,784 and 128,154 is: 274,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784 : 128,154 = 128,154 : x
  2. Step 2: Convert to fraction form
    59,784/128,154 = 128,154/x
  3. Step 3: Cross multiply
    59,784x = 128,154 × 128,154
  4. Step 4: Simplify right side
    59,784x = 16,423,447,716
  5. Step 5: Solve for x
    x = 16,423,447,716/59,784
  6. Step 6: Final answer
    x = 274,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.