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Finding the Third Proportional to 58,506.75 and 93,106.13

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Solution

The third proportional to 58,506.75 and 93,106.13 is: 148,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506.75 : 93,106.13 = 93,106.13 : x
  2. Step 2: Convert to fraction form
    58,506.75/93,106.13 = 93,106.13/x
  3. Step 3: Cross multiply
    58,506.75x = 93,106.13 × 93,106.13
  4. Step 4: Simplify right side
    58,506.75x = 8,668,750,512.52
  5. Step 5: Solve for x
    x = 8,668,750,512.52/58,506.75
  6. Step 6: Final answer
    x = 148,166.67

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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.