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Finding the Third Proportional to 58,248 and 89,070

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Solution

The third proportional to 58,248 and 89,070 is: 136,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,248 : 89,070 = 89,070 : x
  2. Step 2: Convert to fraction form
    58,248/89,070 = 89,070/x
  3. Step 3: Cross multiply
    58,248x = 89,070 × 89,070
  4. Step 4: Simplify right side
    58,248x = 7,933,464,900
  5. Step 5: Solve for x
    x = 7,933,464,900/58,248
  6. Step 6: Final answer
    x = 136,201.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.