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Finding the Third Proportional to 58,971 and 93,787.50

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Solution

The third proportional to 58,971 and 93,787.50 is: 149,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971 : 93,787.50 = 93,787.50 : x
  2. Step 2: Convert to fraction form
    58,971/93,787.50 = 93,787.50/x
  3. Step 3: Cross multiply
    58,971x = 93,787.50 × 93,787.50
  4. Step 4: Simplify right side
    58,971x = 8,796,095,156.25
  5. Step 5: Solve for x
    x = 8,796,095,156.25/58,971
  6. Step 6: Final answer
    x = 149,159.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.