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Finding the Third Proportional to 58,548 and 128,475.75

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Solution

The third proportional to 58,548 and 128,475.75 is: 281,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,548 : 128,475.75 = 128,475.75 : x
  2. Step 2: Convert to fraction form
    58,548/128,475.75 = 128,475.75/x
  3. Step 3: Cross multiply
    58,548x = 128,475.75 × 128,475.75
  4. Step 4: Simplify right side
    58,548x = 16,506,018,338.06
  5. Step 5: Solve for x
    x = 16,506,018,338.06/58,548
  6. Step 6: Final answer
    x = 281,922.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.