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Finding the Third Proportional to 98,070 and 152,127

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Solution

The third proportional to 98,070 and 152,127 is: 235,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,070 : 152,127 = 152,127 : x
  2. Step 2: Convert to fraction form
    98,070/152,127 = 152,127/x
  3. Step 3: Cross multiply
    98,070x = 152,127 × 152,127
  4. Step 4: Simplify right side
    98,070x = 23,142,624,129
  5. Step 5: Solve for x
    x = 23,142,624,129/98,070
  6. Step 6: Final answer
    x = 235,980.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.