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Finding the Third Proportional to 60,971.91 and 93,835.13

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Solution

The third proportional to 60,971.91 and 93,835.13 is: 144,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971.91 : 93,835.13 = 93,835.13 : x
  2. Step 2: Convert to fraction form
    60,971.91/93,835.13 = 93,835.13/x
  3. Step 3: Cross multiply
    60,971.91x = 93,835.13 × 93,835.13
  4. Step 4: Simplify right side
    60,971.91x = 8,805,030,683.77
  5. Step 5: Solve for x
    x = 8,805,030,683.77/60,971.91
  6. Step 6: Final answer
    x = 144,411.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.