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Finding the Third Proportional to 58,948 and 121,352

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Solution

The third proportional to 58,948 and 121,352 is: 249,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,948 : 121,352 = 121,352 : x
  2. Step 2: Convert to fraction form
    58,948/121,352 = 121,352/x
  3. Step 3: Cross multiply
    58,948x = 121,352 × 121,352
  4. Step 4: Simplify right side
    58,948x = 14,726,307,904
  5. Step 5: Solve for x
    x = 14,726,307,904/58,948
  6. Step 6: Final answer
    x = 249,818.62

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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.