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Finding the Third Proportional to 58,053 and 118,565

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Solution

The third proportional to 58,053 and 118,565 is: 242,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,053 : 118,565 = 118,565 : x
  2. Step 2: Convert to fraction form
    58,053/118,565 = 118,565/x
  3. Step 3: Cross multiply
    58,053x = 118,565 × 118,565
  4. Step 4: Simplify right side
    58,053x = 14,057,659,225
  5. Step 5: Solve for x
    x = 14,057,659,225/58,053
  6. Step 6: Final answer
    x = 242,152.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.