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Finding the Third Proportional to 58,946 and 121,348

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Solution

The third proportional to 58,946 and 121,348 is: 249,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,946 : 121,348 = 121,348 : x
  2. Step 2: Convert to fraction form
    58,946/121,348 = 121,348/x
  3. Step 3: Cross multiply
    58,946x = 121,348 × 121,348
  4. Step 4: Simplify right side
    58,946x = 14,725,337,104
  5. Step 5: Solve for x
    x = 14,725,337,104/58,946
  6. Step 6: Final answer
    x = 249,810.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.