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Finding the Third Proportional to 58,746 and 114,532

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Solution

The third proportional to 58,746 and 114,532 is: 223,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746 : 114,532 = 114,532 : x
  2. Step 2: Convert to fraction form
    58,746/114,532 = 114,532/x
  3. Step 3: Cross multiply
    58,746x = 114,532 × 114,532
  4. Step 4: Simplify right side
    58,746x = 13,117,579,024
  5. Step 5: Solve for x
    x = 13,117,579,024/58,746
  6. Step 6: Final answer
    x = 223,293.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.