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Finding the Third Proportional to 58,057 and 118,572

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Solution

The third proportional to 58,057 and 118,572 is: 242,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,057 : 118,572 = 118,572 : x
  2. Step 2: Convert to fraction form
    58,057/118,572 = 118,572/x
  3. Step 3: Cross multiply
    58,057x = 118,572 × 118,572
  4. Step 4: Simplify right side
    58,057x = 14,059,319,184
  5. Step 5: Solve for x
    x = 14,059,319,184/58,057
  6. Step 6: Final answer
    x = 242,164.07

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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.