Finding the Third Proportional to 97,002 and 145,863
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Solution
The third proportional to 97,002 and 145,863 is: 219,335.84
Step by Step Solution
- Step 1: Write the proportion equation
97,002 : 145,863 = 145,863 : x - Step 2: Convert to fraction form
97,002/145,863 = 145,863/x - Step 3: Cross multiply
97,002x = 145,863 × 145,863 - Step 4: Simplify right side
97,002x = 21,276,014,769 - Step 5: Solve for x
x = 21,276,014,769/97,002 - Step 6: Final answer
x = 219,335.84
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.