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Finding the Third Proportional to 59,130 and 136,746

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Solution

The third proportional to 59,130 and 136,746 is: 316,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,130 : 136,746 = 136,746 : x
  2. Step 2: Convert to fraction form
    59,130/136,746 = 136,746/x
  3. Step 3: Cross multiply
    59,130x = 136,746 × 136,746
  4. Step 4: Simplify right side
    59,130x = 18,699,468,516
  5. Step 5: Solve for x
    x = 18,699,468,516/59,130
  6. Step 6: Final answer
    x = 316,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.