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Finding the Third Proportional to 59,264.16 and 128,574.84

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Solution

The third proportional to 59,264.16 and 128,574.84 is: 278,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,264.16 : 128,574.84 = 128,574.84 : x
  2. Step 2: Convert to fraction form
    59,264.16/128,574.84 = 128,574.84/x
  3. Step 3: Cross multiply
    59,264.16x = 128,574.84 × 128,574.84
  4. Step 4: Simplify right side
    59,264.16x = 16,531,490,445.34
  5. Step 5: Solve for x
    x = 16,531,490,445.34/59,264.16
  6. Step 6: Final answer
    x = 278,945.85

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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.