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Finding the Third Proportional to 58,947.75 and 124,547.63

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Solution

The third proportional to 58,947.75 and 124,547.63 is: 263,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,947.75 : 124,547.63 = 124,547.63 : x
  2. Step 2: Convert to fraction form
    58,947.75/124,547.63 = 124,547.63/x
  3. Step 3: Cross multiply
    58,947.75x = 124,547.63 × 124,547.63
  4. Step 4: Simplify right side
    58,947.75x = 15,512,110,893.14
  5. Step 5: Solve for x
    x = 15,512,110,893.14/58,947.75
  6. Step 6: Final answer
    x = 263,150.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.