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Finding the Third Proportional to 59,153.65 and 128,341.02

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Solution

The third proportional to 59,153.65 and 128,341.02 is: 278,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,153.65 : 128,341.02 = 128,341.02 : x
  2. Step 2: Convert to fraction form
    59,153.65/128,341.02 = 128,341.02/x
  3. Step 3: Cross multiply
    59,153.65x = 128,341.02 × 128,341.02
  4. Step 4: Simplify right side
    59,153.65x = 16,471,417,294.32
  5. Step 5: Solve for x
    x = 16,471,417,294.32/59,153.65
  6. Step 6: Final answer
    x = 278,451.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.