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Finding the Third Proportional to 61,746 and 93,486

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Solution

The third proportional to 61,746 and 93,486 is: 141,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746 : 93,486 = 93,486 : x
  2. Step 2: Convert to fraction form
    61,746/93,486 = 93,486/x
  3. Step 3: Cross multiply
    61,746x = 93,486 × 93,486
  4. Step 4: Simplify right side
    61,746x = 8,739,632,196
  5. Step 5: Solve for x
    x = 8,739,632,196/61,746
  6. Step 6: Final answer
    x = 141,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.